10197757440 has 720 divisors, whose sum is σ = 40068716688. Its totient is φ = 2484338688.

The previous prime is 10197757439. The next prime is 10197757441. The reversal of 10197757440 is 4475779101.

10197757440 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 77 + 574 + 4 + 0 = 666.

10197757440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10197757439) and next prime (10197757441).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10197757441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105131472 + ... + 105131568.

Almost surely, 2^10197757440 is an apocalyptic number.

10197757440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10197757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20034358344).

10197757440 is an abundant number, since it is smaller than the sum of its proper divisors (29870959248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10197757440 is an frugal number, since it uses more digits than its factorization.

10197757440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 10197757440 in words is "ten billion, one hundred ninety-seven million, seven hundred fifty-seven thousand, four hundred forty".